At a manufacturing company, the percent of defective items produced on the assembly line is 2%. The company is testing a new assembly line designed to reduce the percent of defective parts. The
null and alternative hypotheses of the test are described as follows.
H : The percent of defective parts is at least 2%.
H : The percent of defective parts is less than 2%.
Which of the following describes a Type II error that could result from the test?
A) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 3%.
Submit
B
The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 2%
C) The test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%.
D
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 2%
E
The test provides convincing evidence that the percent is less than 2%, but the actual percent is 1%.

Answers

Answer 1

Answer: C. the test does not provide convincing evidence that the percent is less than 2%, but the actual percent is 1%

Step-by-step explanation:

A Type II error occurs if a false null hypothesis is not rejected. In this case, the new assembly line does reduce the percent of defective items, but the test fails to detect it.

Answer 2

You can use the definition of type II error to identify what option describes a Type II error.

The option that describes a type II error that could result from the test is:

Option  C) The test does not provide convincing evidence that the percent is less than 2% (ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1% (ie the accepted null hypothesis was wrong in reality, thus, causing type II error)

What is Type I and Type II error?

Firstly the whole story starts from hypotheses. The null hypothesis is tried to reject and we try to accept the alternate hypothesis.

The type 1 error occurs if we get false positive conclusion (false positive means we accuse null hypothesis being wrong when it was actually correct).The type 2 error occurs if we get false negative conclusion (false negative means we accept null hypothesis when it was actually false).

The negative is just like the doctor's test getting negative means no disease. Similarly, if we conclude null hypothesis negative means it is accepted. If it is accepted wrongly means the negative test result was false, thus called false negative. This error is called type II error.

What is type II error in given context?

Since the specified null hypothesis is [tex]H_0[/tex] = The percent of defective parts is at least 2%.

Thus, according to the aforesaid definition of type II error, we get:
Acceptance of null hypothesis since the test doesn't provide enough evidence for alternate hypothesis to be true or that the test doesn't provide enough evidence that the percent is less than 2% but the actual percent is less than 2%

Thus, Option C) The test does not provide convincing evidence that the percent is less than 2%(ie we cannot reject null hypothesis and thus accept it), but the actual percent is 1%(ie the accepted null hypothesis was wrong in reality, thus, causing type II error)

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Related Questions

If cos A = 0.8945, find the measure of angle A to the nearest degree.

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I'm sorry but I don't know but can you help me?

which exponential expression is equal to 2−5·28

Answers

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

Jenny paid $25 to get access to the internet on her iPad. She also has to pay
$15 per month for the service to continue. Write an equation that represents the
total she will pay for m months. Solve the equation and show your work.

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Answer:

25+15m

The first pay of $25 then each month you add $15 so it's 15m.

Step-by-step explanation:

Pls help I rlly appreciate

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Answer:

38.9%

Step-by-step explanation:

a=28

b=77

c=33

d=56

e=72

a/e=.388888888

What is the value of p so that the expression 4(5 + n) is equivalent to 4(n + p) ?

Answers

Answer:

5

Step-by-step explanation:

4(5+n)=4(n+p)

20+4n=4n+4p

4p=20

p=20/4

p=5

Answer:

the value of p is 5

Step-by-step explanation:

the expression 4(5 + n) is equivalent to 4(n + p)

4(5+n)=4(n+p)

5+n=n+p

n+5=n+p

comparing each other

we get p=5

What is 4xy-3xz+y-2x-5=

Answers

Answer:

xz+y-2x-5

Step-by-step equation

You can only combine like terms

Evaluate 4^0×x^-5 when x=2 .

Answers

Answer:

1/32

Step-by-step explanation:

Anything to the power of 0 is 1.

1*x^-5 (negative power means the reciprocal)

1/2^5 = 1/32

1*1/32=1/32

When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.

First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.

Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.

Substituting x = 2, we have 1 / 2⁵.

Now, we can simplify the expression:

1 / 2⁵ = 1 / 32 = 0.03125

Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To learn more about the exponents;

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_x_=-0.75 The two rational numbers have to have what in common?

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Answer:

-3:4 is The two rational numbers have to have in common.

14 pencils cost £3.36. How much would 8 pencils cost?

Answers

Answer:

£1.92

Step-by-step explanation:

3.36/14 will give you the cost of each pencil

£0.24 is the cost of one pencil

8 pencils will cost you £1.92


3 argumentos silogistas​

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Answer:

Step-by-step explanation:

Find the unit rate at which Jonas is paid.​

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Answer:

5 dollars per hour

Step-by-step explanation:

Answer:

5 per hour

Step-by-step explanation:

Divide 10 by 2 to get 5

60,000 is borrowed for 10 years. If the interest on the loan is 49,321.74 , find the monthly payment

Answers

Answer:

911.0145

Step-by-step explanation:

60,000 is the initial cost to repay and you add 49,321.74 because of interest

60,000+49,321.74= 109321.74 this is the final cost with interest

you divide by ten because there are ten years and you want it to equal 1 year

109321.74/10= 10932.174 this is the cost per year

last you divide by 12 because thats how many months there are per year

10932.174/12= 911.0145 this is the cost per month

PLS HELP PLS HELP SORRY IF THE SUBJECT DOESNT MATCH

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Answer:

it goes up to thirty

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Anna ran 10 meters, Bill ran 15 meters, and Chloe ran 20 meters. How many centimeters did the three people run?

Answers

Answer:

Anna: 1000cm

Bill: 1500

Chloe: 2000

convert m to cm

Answer:

4500 cm

Step-by-step explanation:

1 meter = 100 cm

10 meters = 1000 cm

15 meters = 1500 cm

20 meters = 2000 cm

1000 + 1500 + 2000 = 4500 cm

Hina buys a laptop for Rs 45,500 and pays 16% general sales tax. What is the amount of tax? plz need it urgent on some page

Answers

Answer:

₹7280

Step-by-step explanation:

16% of 45500 = 0.16 × 45500 = 7280

Jeremiah scored 32 points in yesterday’s basketball game. He made a total of 19 baskets.Some of the baskets were field goals (worth two points) and the rest were free throws (worth one point). Write and solve a system of equations to find the number of field goals and the number of free throws that Jeremiah made. Let x represent Field Goals and y represent Free Throws.

Answers

Answer:

17,-15

Step-by-step explanation:

Answer:

Please Give Brainliest

Step-by-step explanation:

In a sample of 500 respondents, men account for 20% of all observations in the sample. What is the total number of females in the sample ?

Answers

The total number of women is 400.


Explanation: 20% of 500 is 100

A percentage is a way to describe a part of a whole. The total number of females in the sample are 400.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that In a sample of 500 respondents, men account for 20% of all observations in the sample. Therefore, if we deduct the number of male from the total number of respondents, then we can get the total number of women.

Now, the total number of females in the sample are:

Total number of females in the sample

= Total number of respondents - Total number of males in the sample

= 500 - 20% of total respondents

= 500 - 20% of 500

= 500 - 0.20(500)

= 500 - 100

= 400

Hence, the total number of females in the sample are 400.

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Write the linear equation for this table.

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Answer:

its A

Step-by-step explanation:

Simplify (6w + 5.2) + (12.2 + 2.3w)

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The answer is 8.3 W + 17.4

If you click on the image it will show you how to solve the equation and I hope this helps you.

Mrs. Brown drove 105 miles in 2.5 hours. What was Mrs. Browns speed in miles per hour?

Answers

Answer:

42mph.

Step-by-step explanation:

We know that the formula for miles per hour is.

r = d/t

R is our rate or miles per hour.

D is our distance.

T is our time.

In this case our distance is 105 miles.

And our times is 2.5 hours.

Therefore if we substitute them into our formula:

105mi ÷ 2.5hrs = 42mph

Hope this helped!

Solve
2x2 + 3x + 1 = 0

Answers

Answer:

it's false

Step-by-step explanation:

Answer:

x= -1 or x= -1/2

Step-by-step explanation:

x = -1, x = -1/2, Solve for x:

2 x^2 + 3 x + 1 = 0

The left hand side factors into a product with two terms:

(x + 1) (2 x + 1) = 0

Split into two equations:

x + 1 = 0 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x = -1

Divide both sides by 2:

x = -1 or x = -1/2

Solve the system of linear equations by graphing

Answers

Answer: (3,-1/2)

Step-by-step explanation:

Please help! Find the area of this figure:

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Answer:

this is an triangle.

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area of the triangle=1/2×6cm×5cm

area of triangle=15cm²

A high school reports that its​ students' SAT scores were down by 8​% in one year. The next​ year, however, the test scores rose by 18​%. The high school principal​ announces, "Overall, test scores have improved by 10​% over the past two​ years."

Answers

Answer:

B

1.09 is the improvement in scores

Step-by-step explanation:

Here is the remaining part of the question : Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The statement is true because 18 - 10 = 8 and the percentage improvement is given by the difference in the percentages of the increase and decrease. B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)

let a = scores

If scores decreased by 8% last year, scores that year was (100 - 8%) = 92% = 0.92

scores last year = 0.92a

If scores increased by 18%. It means the score this year is 0.92a x 1.18 = 1.086a

Improvement in scores 1.09

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Answers

Answer:

x-2=3*9

x=29

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Step-by-step explanation:

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The measure of angle t = 71 degrees. The measure of angle d=49 degrees. The sum of angles in any triangle is 180 degrees. The measure of each angle in an equilateral triangle is 60 degrees. I believe that z=100 degrees. X=40 degrees. A circular window and a rectangular window are NOT congruent. I believe they other sides are both 15cm each. The measure of angle a is approximately equal to the measure of angle e. Then CD=GH. Please Brainliest.

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Answers

The quotient of 2 times some number and four.

Hope this helps and sorry if it is wrong but it’s what I got

Tyrone went to a basketball game and bought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39. Write an equation to find the original cost of the jersey

Answers

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

First, we need to determine how much he spent on the jersey:

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

Now, the original cost of the jersey:

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.

Answers

$58.50 is the answer

57, 35, 9, 57, 2, 44

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2, 9, 35, 44, 57, 57
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